Multiple Linear Regression - Estimated Regression Equation
Popularity[t] = -0.983357375578938 + 0.089381370655549month[t] + 0.104378264723487FindingFriends[t] + 0.211622867223575KnowingPeople[t] + 0.385193850989471Liked[t] + 0.59441013592851Celebrity[t] + 0.307649945898061bestfriend[t] -0.0324002150208811secondbestfriend[t] + 0.411552931191424thirdbestfriend[t] -0.00181007322403911t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-0.9833573755789386.011657-0.16360.8702920.435146
month0.0893813706555490.6408420.13950.8892670.444634
FindingFriends0.1043782647234870.0985591.0590.2913270.145664
KnowingPeople0.2116228672235750.064053.3040.0011996e-04
Liked0.3851938509894710.0990383.88940.0001527.6e-05
Celebrity0.594410135928510.1569613.7870.0002220.000111
bestfriend0.3076499458980610.2119911.45120.1488590.074429
secondbestfriend-0.03240021502088110.20236-0.16010.8730140.436507
thirdbestfriend0.4115529311914240.2146121.91770.0571070.028553
t-0.001810073224039110.006864-0.26370.7923890.396194


Multiple Linear Regression - Regression Statistics
Multiple R0.719101919830674
R-squared0.51710757110416
Adjusted R-squared0.487340229596883
F-TEST (value)17.3716410307495
F-TEST (DF numerator)9
F-TEST (DF denominator)146
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.1026328891003
Sum Squared Residuals645.475499683636


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11311.20490267115821.79509732884181
21211.05019761674710.949802383252893
31513.12846422596931.87153577403075
41211.45023897093350.549761029066483
51010.9719246015601-0.97192460156013
6129.361223319074252.63877668092575
71516.9268608320424-1.92686083204242
8910.3094079411661-1.30940794116614
91213.0209978602754-1.02099786027543
10117.543366222382263.45663377761774
111113.0149485846245-2.01494858462452
121112.1838317170145-1.18383171701454
131512.29915926881192.70084073118813
14711.4832734656525-4.48327346565248
151111.2781603020676-0.278160302067566
161110.82207607511430.177923924885657
171011.8347311899754-1.8347311899754
181414.8674128169904-0.867412816990424
19108.568239700104991.43176029989501
2069.34255000441309-3.34255000441309
21118.779320926583282.22067907341672
221514.07376263467850.926237365321516
231111.5803388330651-0.580338833065069
24129.741605246585282.25839475341472
251413.08433613908770.91566386091226
261514.52457487353490.475425126465107
27914.3087353508027-5.30873535080274
281312.48340322421540.516596775784642
291313.4529879522718-0.452987952271803
301611.16945199770554.83054800229448
31138.751625274391044.24837472560896
321213.624849081948-1.62484908194797
331414.569783025129-0.569783025128966
34119.607901702815571.39209829718443
35910.2281357490962-1.22813574909621
361614.18490715395861.81509284604136
371213.1540413424309-1.15404134243088
38109.713073900468340.286926099531656
391313.1545469131956-0.154546913195554
401615.22877361825290.771226381747057
411413.11518493451990.88481506548013
42158.07058331810846.92941668189161
4359.71510528588547-4.71510528588547
44810.3134380241431-2.31343802414315
451111.1487052586015-0.148705258601458
461614.21750746621971.78249253378025
471714.24753084317852.75246915682148
4898.02879397139070.971206028609305
49911.39958743349-2.39958743349002
501314.8178416598702-1.81784165987017
511010.8886453480061-0.888645348006095
52611.9910442211409-5.99104422114088
531211.84951904128590.150480958714061
54810.433166443441-2.43316644344104
551411.80910639081632.19089360918367
561212.876118033608-0.87611803360804
571111.1092335643711-0.109233564371146
581614.17475705960221.82524294039776
59810.2776291475077-2.27762914750774
601514.65754471011630.342455289883668
6179.1511205984398-2.1511205984398
621613.94641103452322.05358896547681
631412.91304739004521.08695260995478
641613.6614142093312.33858579066899
65910.2507224958308-1.25072249583077
661412.38949858308011.61050141691991
671113.2954002601194-2.29540026011942
681310.4232974364032.57670256359697
691513.01758105458811.98241894541192
7055.82162779891744-0.821627798917437
711512.9383483059032.061651694097
721311.97378755277511.02621244722485
731113.0575037847135-2.0575037847135
741114.1346593713084-3.13465937130842
751212.2462910576544-0.246291057654353
761213.4605564914878-1.46055649148784
771212.815850975058-0.815850975058034
781212.1256704010635-0.125670401063511
791411.09863701011072.90136298988933
8068.02152943171598-2.02152943171598
8179.46530618764307-2.46530618764307
821412.63028677016221.36971322983782
831414.0434433176965-0.0434433176964578
841010.9996709892448-0.999670989244845
85139.395760077086323.60423992291368
861212.4552688010383-0.455268801038257
8799.09895259471804-0.0989525947180393
881212.3827335866523-0.382733586652307
891615.11263259648510.887367403514892
901010.8271360363588-0.827136036358805
911413.01494141406290.985058585937122
921013.6743590227115-3.67435902271152
931615.01894942685980.981050573140155
941513.32693852593841.67306147406163
951211.49569137969530.504308620304673
96109.296984320537470.703015679462534
97810.2975523598291-2.29755235982908
9888.4817653155485-0.4817653155485
991112.5542135160764-1.55421351607642
1001313.0145764114289-0.0145764114289043
1011615.89571675069890.104283249301134
1021615.18984535676170.810154643238305
1031415.6944063024031-1.69440630240308
104118.994008885848432.00599111415157
10547.37063441742284-3.37063441742284
1061414.6930170629043-0.693017062904348
107910.5659658154158-1.56596581541582
1081415.2574638574311-1.25746385743106
109810.0167137756442-2.01671377564415
110810.4697500279441-2.46975002794406
1111111.9652097964192-0.965209796419187
1121213.1931382162864-1.19313821628645
1131111.0137981823412-0.0137981823411882
1141413.01971279941670.980287200583342
1151514.40118373768310.598816262316853
1161613.35344329627532.64655670372468
1171612.87311181099953.12688818900048
1181112.6472019672902-1.64720196729016
1191413.36306660288290.636933397117079
1201410.99614951011693.00385048988307
1211211.55541432287830.444585677121667
1221413.05278987026980.94721012973019
123810.8065061752171-2.80650617521712
1241314.2747980236383-1.27479802363834
1251614.50865984660981.49134015339024
1261210.56942807826611.43057192173393
1271615.84107187558260.158928124417358
1281212.6796300217692-0.679630021769198
1291111.2682259994715-0.268225999471477
13045.69832608065274-1.69832608065274
1311616.0766810985428-0.0766810985427848
1321513.06389867075971.93610132924026
1331011.1235806511745-1.12358065117449
1341314.278455374957-1.27845537495703
1351512.56410719570152.43589280429852
1361210.17419174575751.82580825424246
1371412.84695430395621.15304569604381
138710.3775092422047-3.37750924220472
1391913.70535664916095.29464335083911
1401213.0227660694378-1.02276606943781
1411211.88217334639780.117826653602182
1421313.2070126965691-0.20701269656909
1431512.40761733729642.59238266270357
14488.9046262949945-0.904626294994498
1451211.12112704607510.878872953924874
1461010.3911752139798-0.39117521397978
147811.2623122209065-3.26231222090646
1481014.2774505151922-4.27745051519218
1491514.16090976054150.839090239458519
1501613.96414778300562.03585221699442
1511313.1799642692192-0.179964269219201
1521614.96907963006441.03092036993558
15399.6862486002568-0.686248600256794
1541413.27853356589490.72146643410509
1551413.33556860094170.664431399058301
156129.960881276030932.03911872396907


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
130.8360017920639080.3279964158721840.163998207936092
140.901958394078540.1960832118429210.0980416059214603
150.8792405576445190.2415188847109610.120759442355481
160.8086167936731950.382766412653610.191383206326805
170.7265851617577060.5468296764845880.273414838242294
180.6667970381310560.6664059237378890.333202961868944
190.6079103465340510.7841793069318980.392089653465949
200.7021283567818560.5957432864362870.297871643218144
210.694192286731520.6116154265369590.305807713268479
220.7453161201656740.5093677596686510.254683879834326
230.6834184238435530.6331631523128940.316581576156447
240.707777132038690.5844457359226210.29222286796131
250.6845357751627280.6309284496745440.315464224837272
260.6260797639906070.7478404720187870.373920236009393
270.8061671630168050.3876656739663910.193832836983195
280.7709756533203480.4580486933593050.229024346679652
290.7170351166570260.5659297666859490.282964883342974
300.8186239096800450.3627521806399110.181376090319955
310.8601566196548290.2796867606903430.139843380345171
320.8296662109924670.3406675780150670.170333789007533
330.7873125932527150.4253748134945710.212687406747286
340.7549054105990880.4901891788018230.245094589400912
350.736412067999250.5271758640015020.263587932000751
360.7567194634653790.4865610730692420.243280536534621
370.7400780364288230.5198439271423530.259921963571177
380.696462188811620.6070756223767590.303537811188379
390.6463023439943410.7073953120113190.353697656005659
400.6025816866541110.7948366266917780.397418313345889
410.5526456395378250.894708720924350.447354360462175
420.8431763007365380.3136473985269240.156823699263462
430.9708149181968720.05837016360625620.0291850818031281
440.9717544762045280.05649104759094410.0282455237954721
450.963116069055830.0737678618883390.0368839309441695
460.9686958461038150.06260830779237010.0313041538961851
470.9750191368960980.04996172620780410.024980863103902
480.9715922006109850.05681559877802910.0284077993890146
490.968059130521680.06388173895663850.0319408694783192
500.9594327589301220.08113448213975610.0405672410698781
510.9527291428159770.09454171436804560.0472708571840228
520.989272727210280.02145454557943960.0107272727897198
530.98580342590630.02839314818739870.0141965740936994
540.9891549151957050.02169016960858970.0108450848042948
550.9927678910020530.01446421799589430.00723210899794715
560.9902117190816380.01957656183672420.00978828091836208
570.9865131544645910.02697369107081790.013486845535409
580.9858478311767560.0283043376464890.0141521688232445
590.9890595788110890.0218808423778230.0109404211889115
600.9878590335761450.02428193284771070.0121409664238553
610.9877983317135950.02440333657281050.0122016682864053
620.989447218573090.02110556285381870.0105527814269094
630.9878855753545760.02422884929084840.0121144246454242
640.9882874413655620.02342511726887590.011712558634438
650.987659898327960.02468020334407930.0123401016720396
660.9856703082117070.02865938357658690.0143296917882935
670.9873147163489450.02537056730210930.0126852836510546
680.988869906293760.02226018741247730.0111300937062387
690.988298091441910.0234038171161810.0117019085580905
700.9850823550256860.0298352899486290.0149176449743145
710.9855569406129760.0288861187740470.0144430593870235
720.9821643168462680.03567136630746360.0178356831537318
730.9824987923777140.0350024152445720.017501207622286
740.9874030103962650.02519397920747040.0125969896037352
750.9833495355852780.03330092882944390.016650464414722
760.9801562422371860.03968751552562760.0198437577628138
770.9742931165743890.05141376685122290.0257068834256115
780.966661732462630.06667653507474120.0333382675373706
790.9756401282116540.04871974357669240.0243598717883462
800.97399429858950.05201140282099960.0260057014104998
810.9749669441903630.05006611161927370.0250330558096368
820.9729834829159950.05403303416800970.0270165170840049
830.9644489453169550.07110210936609090.0355510546830455
840.9552105811569720.08957883768605670.0447894188430283
850.9819980737612210.03600385247755770.0180019262387789
860.9760140750782780.04797184984344370.0239859249217219
870.9687225114776150.06255497704477050.0312774885223853
880.9597489503999020.0805020992001950.0402510496000975
890.951008179153530.09798364169293980.0489918208464699
900.9384758045615820.1230483908768360.0615241954384179
910.9306311776964690.1387376446070620.069368822303531
920.9547720784722720.0904558430554560.045227921527728
930.945151260319080.109697479361840.0548487396809202
940.9434307560432380.1131384879135250.0565692439567624
950.9320031673230590.1359936653538820.067996832676941
960.9197028008542980.1605943982914040.080297199145702
970.9127613963768930.1744772072462150.0872386036231074
980.8944599622838120.2110800754323760.105540037716188
990.8789282253723880.2421435492552230.121071774627612
1000.8530227067171310.2939545865657380.146977293282869
1010.8222658893142340.3554682213715320.177734110685766
1020.795713023220720.408573953558560.20428697677928
1030.8081798667721190.3836402664557620.191820133227881
1040.8644358748211280.2711282503577450.135564125178872
1050.8618593918989080.2762812162021830.138140608101092
1060.8298872560317030.3402254879365940.170112743968297
1070.7974678520633540.4050642958732920.202532147936646
1080.7836563727571270.4326872544857460.216343627242873
1090.7648546255359220.4702907489281570.235145374464078
1100.7841433090689440.4317133818621120.215856690931056
1110.7690453858734060.4619092282531870.230954614126594
1120.8343242561006170.3313514877987660.165675743899383
1130.7972502037923040.4054995924153920.202749796207696
1140.7663321627394740.4673356745210520.233667837260526
1150.7229761302440680.5540477395118640.277023869755932
1160.7321701317578510.5356597364842970.267829868242149
1170.744374822732680.5112503545346410.25562517726732
1180.7256229710673910.5487540578652170.274377028932609
1190.6753799183396880.6492401633206240.324620081660312
1200.7713185474106790.4573629051786420.228681452589321
1210.7409583544455080.5180832911089840.259041645554492
1220.6882524185663680.6234951628672640.311747581433632
1230.6743283621109530.6513432757780940.325671637889047
1240.6314835368724560.7370329262550890.368516463127544
1250.6121768779478880.7756462441042250.387823122052112
1260.6125528192807940.7748943614384120.387447180719206
1270.546035670759180.907928658481640.45396432924082
1280.5048787291707880.9902425416584240.495121270829212
1290.4829941377381170.9659882754762330.517005862261883
1300.4650092500288740.9300185000577480.534990749971126
1310.3929231015754660.7858462031509310.607076898424534
1320.3714622525341480.7429245050682950.628537747465852
1330.3256673343316130.6513346686632270.674332665668387
1340.2813238243717260.5626476487434520.718676175628274
1350.2375461515696070.4750923031392130.762453848430393
1360.2190691513409930.4381383026819860.780930848659007
1370.184306688933710.368613377867420.81569331106629
1380.197580908202360.3951618164047210.80241909179764
1390.6160697450689150.767860509862170.383930254931085
1400.5261505179104370.9476989641791260.473849482089563
1410.4055698626061730.8111397252123460.594430137393827
1420.4008516816240120.8017033632480240.599148318375988
1430.2780890056171930.5561780112343860.721910994382807


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level290.221374045801527NOK
10% type I error level480.366412213740458NOK